AbstractTo systematically and efficiently study the relationship between the design parameters and the strength and performance of the laminated coupling, it is expected to provide a theoretical basis for the design and selection of the coupling. Based on ANSYS parametric design language, parametric modeling and analysis were carried out on four different types of membranes, namely circular, multilateral, joint and plum‐pattern membranes. The loads and constraints were parameterized and the automatic grid division and analytical parameter control were realized, so as to obtain the stress distribution rule of the membranes. Based on Python language and parameterized commands, the secondary development of the membrane parametric finite element analysis tool was provided. The influence law of the factors such as angular displacement, torque, thickness, and the number of holes on the membrane performance was studied respectively, so as to achieve efficient finite element analysis. Results show that stress concentration exists near the hole edge of the membranes under the action of torque and angular displacement. Both the increase of torque and angular displacement will maximize the equivalent stress of the membranes, and appropriately reducing the thickness of the single membrane can lower the equivalent stress of the membranes.